Answer:
Step-by-step explanation:
x2 + 5x + 4 (the area of the rectangle)
x + 2 (the length of one side)
(x2 + 5x + 4)/(x + 2)
do a division of this polynomial and you get; (x + 3) - 2/(x+2), you could leave the answer like this or you could simplify by using the LCM method
= [(x+2)(x+3) - 2]/(x + 2)
checking; (x + 2)*[(x+2)(x+3) - 2]/(x + 2) = (x+2)(x+3) - 2 = x2 +5x + 6 - 2 = x2 +5x + 4 (proven)
